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We formulate the basic theoretical methods for Bose-Einstein Condensation of atoms close to a Feshbach resonance, in which the tunable scattering length of the atoms is described using a system of coupled atom and molecule fields. These…

Atomic and Molecular Clusters · Physics 2011-09-15 Catarina E Sahlberg , C W Gardiner

The Gardiner's phonon presented for a particle-number conserving approximation method to describe the dynamics of Bose-Einstein Condesation (BEC) (C.W. Gardiner, Phys. Rev. A 56, 1414 (1997)) is shown to be a physical realization of the…

Quantum Physics · Physics 2007-05-23 C. P. Sun , S. X. Yu , Y. B. Gao

An unstable condensate of diatomic molecules will coherently disassociate into correlated pairs of atoms. This dissociation process exhibits very rich quantum dynamics depending on the quantum statistics of the constituent atoms. We show…

Other Condensed Matter · Physics 2009-11-11 Michael W. Jack , Han Pu

We show that in the limit of large and positive atom--atom scattering length the properties of an atomic--molecular Bose--Einstein Condensate (amBEC) are determined by an universal energy density functional (EDF). We find that the optimal…

Statistical Mechanics · Physics 2007-05-23 Aurel Bulgac , Paulo F. Bedaque

Low-momentum excitations of a dilute Bose-Einstein condensate behave as phonons and move at a finite velocity v_s. Yet the atoms making up the phonon excitation each move very slowly; v_a = p/m --> 0. A simple "cartoon picture" is suggested…

Soft Condensed Matter · Physics 2016-07-01 P. M. Stevenson

Producing a substantial and stable resonant Bose-Einstein condensate (BEC) has proven to be a challenging experimental task due to heating and three-body losses that may occur even before the gas comes to thermal equilibrium. In this paper,…

Atomic Physics · Physics 2019-03-27 M. W. C. Sze , J. L. Bohn

A quantum model of Bose-Einstein condensation based on processes involving polaritons excited in an intracavity absorbing cell with resonance atoms, which is manifested in the spectral characteristics of the system, is considered. It is…

The confined variational method in conjunction with the orthogonalizing pseudo-potential method and the stabilization method is used to study the low energy elastic scattering between two spin-polarized metastable positronium…

Atomic Physics · Physics 2022-06-14 Y. Zhang , M. -S. Wu , J. -Y. Zhang , Y. Qian , X. Gao , K. Varga

Bose-Einstein condensates of sodium atoms have been prepared in optical and magnetic traps in which the energy-level spacing in one or two dimensions exceeds the interaction energy between atoms, realizing condensates of lower…

Motivated by recent experiments, we investigate particle emission from a Bose-Einstein condensate in a one-dimensional lattice, where the interaction strength is periodically modulated. The modulated interactions parametrically excite a…

Quantum Gases · Physics 2022-09-14 L. Q. Lai , Y. B. Yu , Erich J. Mueller

This review describes recent experimental and theoretical advances in forming molecules in ultracold gases of trapped alkali metal atoms, both by magnetic tuning through Feshbach resonances and by photoassociation. Molecular Bose-Einstein…

Chemical Physics · Physics 2007-05-23 Jeremy M. Hutson , Pavel Soldan

Recent advances in molecular cooling have enabled the realization of strongly dipolar Bose-Einstein condensates (BECs) of molecules, and BECs of many different molecular species may become experimentally accessible in the near future. Here,…

The possibility, envisaged in 1925 by Einstein following the suggestion of Bose, of a dilute gas of atoms being condensed into a single quantum state was experimentally achieved in 1995 following decades of research. An avalanche of…

Condensed Matter · Physics 2007-05-23 William P. Reinhardt , Heidi Perry

We evaluate the effects of heterogeneity on the density of states of H$_2$ molecules inside interstitial channels within bundles of carbon nanotubes. As temperature (T) falls, the density increases within those tubes having the greatest…

Soft Condensed Matter · Physics 2007-05-23 Francesco Ancilotto , M. Mercedes Calbi , Silvina M. Gatica , Milton W. Cole

We present an analytically solvable theory of Bose-Einstein condensation in thin film geometries. Analytical closed-form expressions for the critical temperature are obtained in both the low-to-moderate confinement regime (where the film…

Quantum Gases · Physics 2022-03-31 Riccardo Travaglino , Alessio Zaccone

In this paper we study the fast adiabatic-like expansion of a one-dimensional Bose-Einstein condensate (BEC) confined in a harmonic potential, using the theory of time-optimal control. We find that under reasonable assumptions suggested by…

Optimization and Control · Mathematics 2015-06-04 Dionisis Stefanatos , Jr-Shin Li

In some recent experiments an ultracold gas of $^{40}$K$_2$ (or $^{6}$Li$_2$) molecules has been produced from a degenerate two-component Fermi gas of $^{40}$K (or $^{6}$Li) atoms by adiabatic passage through a Feshbach resonance. The…

Statistical Mechanics · Physics 2007-05-23 Hui Hu , Feng Yuan , Shaojin Qin

The roton in a Bose-Einstein condensate is computed, both near and far from a Feshbach resonance. A low-density approximation is made, allowing for an analytic result. A Monte Carlo calculation shows that the roton is larger than predicted…

Soft Condensed Matter · Physics 2007-05-23 J. Steinhauer , R. Ozeri , N. Katz , N. Davidson

We investigate the electromagnetic wave absorption process in a coherently coupled two-component Bose-Einstein condensate model in different dimensionality at zero temperature. As the analogue of phonon in the solid state physics, the…

Quantum Gases · Physics 2025-05-29 Xinyu Zhu , Meng Sun

We have realized an acoustic analog to the Dynamical Casimir effect. The density of a trapped Bose-Einstein condensate is modulated by changing the trap stiffness. We observe the creation of correlated excitations with equal and opposite…